water supply to griet

Upload: pvr123pvr

Post on 04-Jun-2018

217 views

Category:

Documents


0 download

TRANSCRIPT

  • 8/13/2019 Water Supply to GRIET

    1/69

    DESIGN OF WATER SUPPLY AND SANITATION SYSTEM TO

    THE BLOCK IV OF GRIET CAMPUS

    Aishwarya Manasa Preethi Spandana Mrudula honey

    ABSTRACT

    The basic aim of the project is to provide drinking water supply and sanitation system by

    estimating the daily water requirement for the building. The study area considered is block IV of

    GRIET.

    For an effective water supply network, pipe network analysis is done. Pipe network

    analysis is the fluid flow through a hydraulics network containing several or many

    interconnected branches whose aim is to determine the flow rates and pressure drops in the

    individual sections of the network. Hardy cross method is the classical approach for solving the

    networks. However the problem can be addressed by using specialized software such as

    EPANET and LMNO in order to automatically solve the problems.

    Sanitation system is equally important to water supply system. Well planned sanitation

    system ensures good health of the people, i.e by putting all the health hazards at bay. Also

    improves the architectural beauty by not causing any inconvenience.

  • 8/13/2019 Water Supply to GRIET

    2/69

  • 8/13/2019 Water Supply to GRIET

    3/69

    LIST OF FIGURES

    Name of the figure

    2.3.1 Dead end system

    2.3.2 Grid iron system

    2.3.3 Circular system

    2.3.4 Radial system

    2.4.1 Gravity system

    2.4.2 Pumping system

    2.4.3 Dual system of distribution

    2.10.1.1 Sluice valve

    2.10.1.2 Check valve

    2.10.1.3 Air valve

    2.11 Post hydrant

    2.11.1 House water connection

    2.11.2 Stop cock

    2.11.3 Bib cock

    2.11.4 Pipe fittings

    2.11.5 Piping system using overhead tank

    2.12.2 Loss of head due to sudden enlargement

    2.12.3 Loss of head due to sudden contraction

    3.1 A view of block IV

    3.2 Plan of block IV

    3.3 Elevation of block IV

    3.4 Plan of terrace

    3.5 Plan of washroom in ground floor

  • 8/13/2019 Water Supply to GRIET

    4/69

    3.6 Plan of washroom in first floor

    3.7 Plan of washroom in second floor

    3.8 Plan of washroom in third floor

    3.9 Plan of washroom in fourth floor

    5.1.1 Pipe network

    5.1.2 Pipe network

    5.1.3 Pipe network

    5.3.1 Septic tank

    5.3.2 Pipe line layout

  • 8/13/2019 Water Supply to GRIET

    5/69

    Acknowledgement

    It gives us immense pleasure to express our gratitude to professor Dr. G. Venkata Ramana,

    Head of the department of Civil Engineering for his esteemed guidance and able supervision

    during the course of the project. We would like to express our sincere thanks for providing us an

    opportunity to complete our industrial oriented main project successfully, which is a part ofcourse curriculum.

    We are especially thankful to our principal Dr.J.N.Murthyfor providing the necessary facilities

    to carry out the work successfully.

    This training would not have been successfully completed without the guidance and support of

    Mr.Nookaraju Professor of Mechanical engineering department.

    Mr.Venkat raju Incharge of Strength of materials laboratory.

    Mr. Prasad Sr. Plumber.

    We are deeply indebted to our project team members who were always ready to help us during

    project time.

  • 8/13/2019 Water Supply to GRIET

    6/69

    INTRODUCTION

  • 8/13/2019 Water Supply to GRIET

    7/69

    Chapter 1

    Introduction

    1.1 General

    Need for protected water supply

    Protected water supply means the supply of water that is treated to remove the

    impurities and made safe to public health.

    Pure and whole some water is to be supplied to the community alone can bring down the

    morbidity rates

    1.2 Objectives of the community water supply system

    1. To provide whole some water to the consumers for drinking purpose.

    2. To supply adequate quantity to meet at least the minimum needs of the

    individuals

    3. To make adequate provisions for emergencies like fire fighting, festivals,

    meeting etc.

    4. To make provision for future demands due to increase in population, increase in

    standard of living, storage and conveyance

    5. To prevent pollution of water at source, storage and conveyance

    6. To maintain the treatment units and distribution system in good condition with

    adequate staff and materials

    7. To design and maintain the system that is economical and reliable water

  • 8/13/2019 Water Supply to GRIET

    8/69

    1.3 Wholesome water

    wholesome water is defined as the water which contains the minerals in small quantities at

    requisite levels and free from harmful impurities Chemically pure water is also corrosive but not

    whole some water. The water that is fit for drinking safe and agreeable is called potable water.

    1.3.1 The following are the requirements of wholesome water

    1. It should be free from bacteria

    2. It should be colourless and sparkling

    3. It should be tasty, odour free and cool

    4. It should be free from objectionable matter

    5. It should not corrode pipes

    6. It should have dissolved oxygen and free from carbonic acid so that it may

    remain fresh

    1.4 Various types of water demands

    While designing the water supply scheme for a town or city, it is necessary to

    determine the total quantity of a water required for various purposes by the city. As a

    matter of fact the first duty of the engineer is to determine the water demand of the town

    and then to find suitable water sources from where the demand can be met. But as there

    are so many factors involved in demand of water, it is not possible to accurately

    determine the actual demand. Certain empirical formulae and thumb rules are employed

    in determining the water demand, which is very near to the actual demand.

  • 8/13/2019 Water Supply to GRIET

    9/69

  • 8/13/2019 Water Supply to GRIET

    10/69

    different empirical formulae.

    For Indian conditions kuichings formula gives satisfactory results.

    Q=3182 p

    Where Q is quantity of water required in litres/min

    P is population of town or city in thousands

    1.5 Losses and wastes

    All the water, which goes in the distribution, pipes does not reach the consumers.

    The following are the reasons

    1. Losses due to defective pipe joints, cracked and broken pipes, faulty valves and

    fittings

    2. Losses due to, consumers keep open their taps of public taps even when they are not

    using the water and allow the continuous wastage of water

    3. Losses due to unauthorised and illegal connections

    While estimating the total quantity of water of a town; allowance of 15% of total

    quantity of water is made to compensate for losses, thefts and wastage of water

  • 8/13/2019 Water Supply to GRIET

    11/69

    sCHAPTER II

    LITERATURE REVIEW

    2.0 General

    2.1 Distribution of water

    After treatment, water is to be stored temporarily and supplied to the consumers through

    the network of pipelines called distribution system. The distribution system also includes

    pumps, reservoirs, pipe fittings, instruments for measurement of pressures, flow leak

    detectors etc. The cost of distribution is about 40 to 70% of the total cost of the entire

    scheme. The efficiency of the system depends upon proper planning, execution and

    maintenance. Ultimate aim is to supply potable water to all the consumers whenever

    required in sufficient quantity with required pressure with least lost and without any

    leakage.

    2.2 Requirement of a distribution system

    1. The system should convey the treated water to consumers with the same degree of purity

    2. The system should be economical and easy to maintain and operate

    3. The diameter of pipes should be designed to meet the fire demand

    4. It should safe against any future pollution. As far as possible, it should not be laid below

    sewer lines.

    5. Water should be supplied without interruption even when repairs are undertaken.

  • 8/13/2019 Water Supply to GRIET

    12/69

  • 8/13/2019 Water Supply to GRIET

    13/69

  • 8/13/2019 Water Supply to GRIET

    14/69

    Advantages

    1. In the case of repairs a very small portion of distribution are a will be affected

    2. Every point receives supply from two directions and with higher pressure

    3. Additional water from the other branches are available for fire fighting

    4. There is free circulation of water and hence it is not liable for pollution due to stagnation.

    Disadvantages

    1. More length of pipes and number of valves are needed and hence there is increased cost

    of construction

    2. Calculation of sizes of pipes and working out pressures at various points in the

    distribution system is laborious , complicated and difficult.

    Circular or ring system

    Supply to the inner pipes is from the mains around the boundary. It has the same

    advantages as the grid-Iron system. Smaller diameter pipes are needed. The advantages

    and disadvantages are same as that of grid-Iron system.

    ..

  • 8/13/2019 Water Supply to GRIET

    15/69

    Radial system:

    This is a zoned system. Water is pumped to the distribution reservoirs and from

    the reservoirs it flows by gravity to the tree system of pipes. The pressure calculations are

    easy in this system. Layout of roads need to be radial to eliminate loss of head in bends.

    This is most economical system also if combined pumping and gravity flow is adopted.

    ..

    2.4 System of distribution

    For efficient distribution it is required that the water should reach to every

    consumer with required rate of flow. Therefore, some pressure in pipeline is necessary,

    which should force the water to reach at every place. Depending upon the methods of

    distribution, the distribution system is classified as the follows:

    1. Gravity system

    2. Pumping system

    3. Dual system or combined gravity and pumping system

  • 8/13/2019 Water Supply to GRIET

    16/69

  • 8/13/2019 Water Supply to GRIET

    17/69

    ..

    Combined pumping and gravity system

    This is also known as dual system. The pump is connected to the mains as well as

    elevated reservoir. In the begining when demand is small the water is stored in the

    elevated reservoir, but when demand increases the rate of pumping , the flow in the

    distribution system comes from the both the pumping station as well as elevated

    reservoir. As in this system water comes from two sources one from reservoir and second

    from pumping station, it is called dual system. This system is more reliable and

    economical, because it requires uniform rate of pumping but meets low as well as

    maximum demand. The water stored in the elevated reservoir meets the requirements of

    demand during breakdown of pumps and for fire fighting.

  • 8/13/2019 Water Supply to GRIET

    18/69

    ..

    The water may be supplied to the consumers by either of the two systems.

    Continuous system

    This is the best system and water is supplied for all 24 hours. This system is

    possible when there is adequate quantity of water for supply. In this system sample of

    water is always available for fire fighting and due to continuous circulation water always

    remains fresh. In this system less diameter of pipes are required and rusting of pipes will

    be less. Losses will be more if there are leakages in the system.

    Intermittent system

    If plenty of water is not available, the supply of water is divided into zones and

    each zone is supplied with water for fixed hours in a day or on alternate days. As the

    water is supplied after intervals, it is called intermittent system. The system has following

    disadvantages:

    1. Pipelines are likely to rust faster due to alternate wetting and drying. This increases

    the maintenance cost.

    2. There is also pollution of water by ingress of polluted water through leaks during

    non flow periods.

  • 8/13/2019 Water Supply to GRIET

    19/69

  • 8/13/2019 Water Supply to GRIET

    20/69

    2.5 Pumps

    The function of pump is to left the water or any fluid to higher elevation or at

    higher pressure. Pumps are driven by electricity ,diesiel or steam power. They are helpful

    in pumping water from the sources, that is from intake to the treatment plant and from

    treatment plant to the distribution system or service reservoir . In homes also pumps are

    used to pump water to upper floors or to store water in tanks over the buildings.

    2.6 Types of pumps and their suitability

    Based on the mechanical principle of water lifting, pumps are classified as the

    following

  • 8/13/2019 Water Supply to GRIET

    21/69

    2.7 Selection of pump horse power

    Basic data regarding the water availability like diameter, depth of the well, depth

    of the water table, seasonal variations of water table, drawdown duration of pumping and

    safe yield are to be collected accurately before selecting a pump.

    The horse-power (H.P.) of a pump can be determined by calculated the work done by apump in raising the water upto H height.

    Let the pump raise w kg of water to height H m Then work done by pump = w X H Kg m

    = WQH m kg/sec

    Where W density of water in kg/m3.Q water discharge by pump in m3/sec

    The water horse power = discharge x total head/( 75)W Q H

    W.H.P. = WxQxH/75

    Break Horse Power = W.H.P./Efficiency=W. H. P./(75 )

  • 8/13/2019 Water Supply to GRIET

    22/69

  • 8/13/2019 Water Supply to GRIET

    23/69

  • 8/13/2019 Water Supply to GRIET

    24/69

    Where QL Allowable leakage in lit/day

    N No. of joints

    P Average test pressure

    D diameter of pipe in mm

    The above value is applicable for C.I, A.C and concrete pipes.

    For steel and prestressed concrete pipes 3 times the above value is allowed.

    Gravity pipes are tested with hydrostatic head of 2.5m at the highest point in the

    pipe for 10minutes permissible leakage is 0.2 litres / mm of diameter pipe per day per

    kilometer length.

    2.9.4 Maintenance of pipes:

    Hygienic quality and adequate flow in the pipe lines are to be maintained,

    maintenance of pipes includes the following

    1. Detection of leaks in faulty joints ferrule connections, pipes and fittings

    inside the consumer premises,

    2. Detection of corrosion in pipes, fractures and replacement of these portions

    3. The wastage of water 15 to 25% of leakage through pipe joints should be

    brought down to the minimum possible extent by adopting suitable

    preventive measures

    4. Cleaning of pipes by flushing and disinfection of pipes

    5. Protection against pollution Water Supply Engineering

    6. The records of regarding the lengths of pipe laid, length of pipe repaired or

    replaced, expenditure incurred, no. of fire hydrants , no. of service

    connections and all other relevant data in connection with the distribution

    system should maintained for ready reference.

  • 8/13/2019 Water Supply to GRIET

    25/69

  • 8/13/2019 Water Supply to GRIET

    26/69

    2.10.1.1Sluice valve

    These are also known as gate-valves or stop valves. These valve control the flow

    of water through pipes. These valves are cheaper, offers less resistance to the flow of

    water than other valves. The entire distribution system is decided into blocks by

    providing these valves at appropriate places. They are provided in straight pipeline at

    150-200m intervals. When two pipes lines intersect, valves are fixed in both sides of

    intersection. When sluice valve is closed, it shuts off water in a pipeline to enable to

    undertake repairs in that particular block. The flow of water can be controlled by raising

    or lowering the handle or wheel.

    Fig 2.10.1.1 Sluice valve

    2.10.1.2 Check valve or Reflex valve

    These valves are also known as non-return valves. A reflux valve is an automatic

    device which allows water to go in one direction only. The swing type of reflux valve as

    shown in fig is widely used in practice.

  • 8/13/2019 Water Supply to GRIET

    27/69

  • 8/13/2019 Water Supply to GRIET

    28/69

    water due to air lock. In such cases the accumulated air has to be removed from the pipe

    lines. This is done automatically by means of air relief valves.

    Fig 2.10.1.3 Air Valve

    This valve consists of a chamber in which one or two floats are placed and is

    connected to the pipe line. When there is flow under pressure in the pipeline water

    occupies the float chamber and makes the float to close the outlet. But where there is

    accumulation of air in the pipeline, air enters the chamber, makes the float to come down,

    thus opening the outlet. The accumulated air is driven out through the outlet.

    2.10.1.4Drain valve or blow off valve

    These are also called wash out valves they are provided at all dead ends and

    depression of pipelines to drain out the waste water. These are ordinary valves operated

    by hand.

    2.10.1.5 Scour valve

    These are similar to blow off valves. They are ordinary valves operated by hand.

    They are located at the depressions and dead ends to remove the accumulated silt and

    sand. After the complete removal of silt; the value is to be closed.

  • 8/13/2019 Water Supply to GRIET

    29/69

  • 8/13/2019 Water Supply to GRIET

    30/69

    They have long stem with screw and nut to regulate the flow. In case of fire accident ,

    the fire fighting squad connect their hose to the hydrant and draw the water and spray

    it on fire.

    A good fire hydrant

    1. Should be cheap

    2. Easy to connect with hose

    3. Easily detachable and reliable

    4. Should draw large quantity of water

    2.11 Plumbing system in building

    It is necessary to know the following terms relating to plumbing, principles and the

    common practices used in the house plumbing

    1. Water main: A water supply pipe vests in the administrative authority for the use of

    public or community

    2. Ferrule: It is gunmetal or bronze screwed into the hole drilled in CI pipe mains.

    Communication pipe takes off from the ferrule. The pressure in the domestic supply and

    equal distribution among the house connection are effected by adjusting the ferrule

    opening. Normally the ferrule opening is equal in area to the area of flow in

    communication pipe.

    3. Saddle: it is used in place of ferrule for mains of AC or PVC pipes

    4. Communication pipes: It is a pipe taking off from the ferrule for the house connection. It

    is owned and managed by the water supply authority. Communication pipe terminates at

    the boundary of the consumers premises.

    5. Service pipe : it is the part of the house connection beyond the stop cock. It is owned and

    maintained by the consumer . No pumps shall be installed on this pipe.

    6. Watermeter: It is installed to measure the flow. It is an integrating meter that it records

  • 8/13/2019 Water Supply to GRIET

    31/69

    the total flow upto the time of measurement.

    Generally 12.5 mm to 18.75mm rotary water meters are installed either at the beginning

    or at the middle of the service pipe. A masonary pit is constructed around it. It has

    facility of sealing by the water supply authority

    7. Residual pressure: It is generally measured at the ferrule and should be about 7m head of

    water

    8. Goose Neck: It is the short bent pipe and allow for small changes in length due to

    expansion and movement of pipes due to soil settlements. It can also withstand stresses.

    2.11.1 Plumbing systems in water supplies

    The following are the requirements of plumbing systems in water supplies

    1. Plumbing of water lines should be such as not to permit back flow from eistern and

    sinks Water Supply Engineering

    2. All joints shall be perfectly water tight and no leakage or spill at taps or cocks should be

    allowed

    3. Pipelines should not be carried under walls or foundations

    4. It should not be close to sewers or waste water drains. There should not be any

    possibility for cross connections.

    5. When pipe lines are close to electric cables proper precautions for insulation should be

    observed.

    6. plumbing lines should be such as to afford easy inspection and repair of fixtures and

    joints.

    7. Number of joints should be less and the number of bends and tees should be less

    8. It should supply adequate discharge at fixtures economical in terms of material and protected

    against corrosion , air lock, negative pressure and noise due to flow in pipes and in flushing

  • 8/13/2019 Water Supply to GRIET

    32/69

    The house water connections

    The house water connection is as shown in the fig

    ..

    2.11.2Stop cocks

    It is a valve fitted at the end of communication pipe and it is under the control of water

    supply authority. The purpose of stop cock is to stop the supply of water. Temperory

    disconnections are made at the stopcock while permanent disconnections are made at

    ferrule.

    ..

  • 8/13/2019 Water Supply to GRIET

    33/69

  • 8/13/2019 Water Supply to GRIET

    34/69

    2.11.4 Pipe fittings

    In addition to the pipes, valves, tapes, various types of pipe fittings such as

    unions, caps, plugs, flanges, nipples, crosses, tees, elbows, bends etc are used during

    laying of distribution pipes The common pipe fittings are shown in fig

  • 8/13/2019 Water Supply to GRIET

    35/69

  • 8/13/2019 Water Supply to GRIET

    36/69

    2.11.5 Water piping system in building

    The following are the requirements of piping system in building

    1. Plumbing of water lines should be such as not to permit backflow from cisterns

    and sinks.

    2. All joints shall be perfectly water tight and no leakage or spill at taps or cocks

    should be allowed.

    3. Pipelines should not be carried under walls or foundations

    4. It should not be close to sewers or waste water drains. There should not be any

    possibility for cross connections

    5. When pipelines are close to electric cables proper precautions for insulation

    should be observed

    6. Plumbing lines should be such as to afford easy inspection and repair of fixtures

    and joints

    7. Number of joints should be less and number of bends and tees should be less

    8. It should supply adequate discharge at fixtures, economical in terms of materials

    and protected against corrosion, airlock, negative pressure and noise due to flow

    in pipes and in flushing.

    2.11.6 Piping system using direct supply

    When the residual pressure at the ferrule is greater than 7m and continuous supply

    is available in the mains, water may be supplied directly from the service pipe for various

    fixtures for a single storey building.

    2.11.7 Piping system using over head tanks

    If the supply is intermittent and residual pressure is low then, water is pumped to

    over-head tanks and then supplied to distribution pipes at required pressure by gravity

  • 8/13/2019 Water Supply to GRIET

    37/69

    Fig 2.11.5 piping system using overhead tanks

    If the supply is intermittent and residual pressure is low then a ground level

    storage tank and a overhead storage tank are built to supply water. Water from the

    overhead tank is drawn by down take pipes and then into the distribution pipes for

    fixtures.

    2.11.8Pumped systems

    When the residual pressure at the ferrule is less than 7m and continuous supply is

    available in the mains, water may be supplied by pumping from the service pipes.

  • 8/13/2019 Water Supply to GRIET

    38/69

    2.12 Intensity of pressure

    When a liquid is contained in a vessel, it exerts force at all points on the sides and bottom

    of the container. This force per unit area is called intensity of pressure. If p is the total

    force acting on the cross sectional area a Y

    then intensity of pressure p = P/a.

    The direction of this pressure is always at right angles to the surface, with which the fluid

    at rest, comes in contact.

    2.12.1 Pressure head

    The vertical height of the free surface above any point in a liquid at rest is known as

    pressure H = p / w

    P = wh

    This equation shows that the intensity of pressure at any point in a liquid is proportional

    to its depth from the liquid surface.

    The pressure may be expressed as

    1. Force per unit area in N/m2

    2. Height of the equivalent liquid column in cm or m

    Units The pressure is expressed in pascal (pa)

    Loss of head due to friction

    When the water is flowing in a pipe, it experiences some resistance to its motion. This

    reduces the velocity and ultimately the head of water available. The major loss is due to

    frictional resistance of the pipe only.

    Darcys formula is used to calculate the loss of head in pipes due to friction; neglecting

    minor losses

    Hf = 4 f l v2/ 2g d

    where f frictional resistance

  • 8/13/2019 Water Supply to GRIET

    39/69

    lLength of pipe

    ffrictional resistance

    vvelocity of water in the pipe

    ddiameter of pipe

    hfloss of head due to friction

    QLdischarge through pipe

    2.12.2 Loss of head due to sudden enlargement

    Fig 2.12.2

  • 8/13/2019 Water Supply to GRIET

    40/69

    2.12.3 Loss of head due to sudden contraction

    Fig 2.12.3

  • 8/13/2019 Water Supply to GRIET

    41/69

    Loss of head due to bends

    When the direction of a length changes such as at the bends in a pipe line, some of the

    liquid energy is lost.

    Loss of head due to bends = k V2/2g

    Where

    k coefficient which depends upon angle and radius of bend

    K = 1 for 90 elbows

    V = Velocity of liquid in the pipe

    g = acceleration due to gravity

    Loss of head at the entrance

    The loss of head due to entrance in a pipe is actually a loss of head due to sudden

    contraction and depends upon the form of entrance.

    Loss of head at entrance = 0.5V2/ 2g

    where

    V = Velocity of liquid in the pipe

    g = acceleration due to gravity

    Loss of head due to exit

    The loss of head due to exit in a pipe is actually a loss due to energy of head of flowing

    liquid by virtue of its motion.

    Loss of head at exit by experimentally = V2/ 2g

    where

    V = Velocity of liquid in the pipe

    g = acceleration due to gravity

  • 8/13/2019 Water Supply to GRIET

    42/69

    CHAPTER 3

    STUDY AREA

    The study area where the project work done is BLOCK-IV OF GOKARAJU RANGARAJU

    INSTITUTE OF ENGINEERING AND TECHNOLOGY(G.R.I.E.T) BACHUPALLY,

    HYDERABAD.

    G.R.I.E.T is located in bachupally, 5km from jntu having an area of 65 acres.

    The engineering college comprises of four blocks besides a block for pharmacy, sheds for

    mechanical workshops and a vast playground.

    Our project is done on block-IV which is allocated for civil engineering, mechanical engineering

    and bio-technology engineering disciplines.

    Block-IV comprises of five storeys. Height of each storey is 13.5 ft. the total height of building is

    67.5 ft.

    The population of the building is 946

    The project work includes design of water supply and sanitation system for the block- IV.

    Design of water supply includes

    Calculation of pressure heads at bends, head losses in pipes, calculation of pipe diameters.

    Design of sanitation system includes the design of septic tank.

  • 8/13/2019 Water Supply to GRIET

    43/69

  • 8/13/2019 Water Supply to GRIET

    44/69

    The general relationship between head loss and flow is:

    where r is the head loss per unit flow and n is the flow exponent. In most design situations

    the values that make up r, such as pipe length, diameter, and roughness, are taken to be

    known or assumed and the value of r can be determined for each pipe in the network. The

    values that make up r and the value of n change depending on the relation used to determine

    head loss. However, all relations are compatible with the Hardy Cross method.

    It is also worth noting that the Hardy Cross method can be used to solve simple circuits and other

    flow like situations. In the case of simple circuits,

    is equivalent to

    .

    By setting the coefficient r to R, the flow rate Q to I and the exponent n to 1, the Hardy

    Cross method can be used to solve a simple circuit. However, because the relation

    between the voltage drop and current is linear, the Hardy Cross method is not necessary

    and the circuit can be solved using non-iterative methods

  • 8/13/2019 Water Supply to GRIET

    45/69

    The method of balancing heads uses an initial guess that satisfies continuity of flow at each

    junction and then balances the flows until continuity of potential is also achieved over each loop

    in the system.

    Proof

    If the initial guess of flow rates in each pipe is correct, the change in head over a loop in the

    system, would be equal to zero. However, if the initial guess is not correct, then the

    change in head will be non-zero and a change in flow, must be applied. The new flow

    rate, is the sum of the old flow rate and some change in flow rate such that

    the changed in head over the loop is zero. The sum of the change in head over the new loop will

    then be .

    The value of can be approximated using the Taylor expansion.

    For a small compared to the additional terms vanish, leaving:

    And solving for

  • 8/13/2019 Water Supply to GRIET

    46/69

    The change in flow that will balance the head over the loop is approximated

    by . However, this is only an approximation due to the

    terms that were ignored from the Taylor expansion. The change in head over the

    loop may not be zero, but it will be smaller than the initial guess. Multiple

    iterations of finding a new will approximate to the correct solution

    Process

    The method is as follows:

    1. Guess the flows in each pipe, making sure that the total in flowis equal to the total outflowat each junction. (The guess doesn't have to be good, but a good guess will reduce

    the time it takes to find the solution.)

    2. Determine each closed loop in the system3. For each loop, determine the clockwise head losses and counter-clockwise head losses.

    Head loss in each pipe are calculated using . Clockwise head losses are from

    flows in the clockwise direction and likewise for counter-clockwise.

    4. Determine the total head loss in the loop, , by subtracting the counter-clockwisehead loss from the clockwise head loss.

    5. For each loop, find without reference to direction (all values should bepositive).

    6. The change in flow is equal to .

  • 8/13/2019 Water Supply to GRIET

    47/69

    7. If the change in flow is positive, apply it to all pipes of the loop in the counter-clockwisedirection. If the change in flow is negative, apply it to all pipes of the loop in the

    clockwise direction.

    8. Continue from step 3 until the change in flow is within a satisfactory range.

    Method of balancing flows

    The method of balancing flows uses an initial guess that satisfies continuity of potential over

    each loop and then balances the flows until continuity of flow is also achieved at each junction.

    Advantages of the Hardy Cross method

    Simple math

    The Hardy Cross method is useful because it relies on only simple math, circumventing the need

    to solve a system of equations. Without the Hardy Cross methods, engineers would have to solve

    complex systems of equations with variable exponents that cannot easily be solved by hand.

    Self correcting

    The Hardy Cross method iteratively corrects for the mistakes in the initial guess used to solve the

    problem. Subsequent mistakes in calculation are also iteratively corrected. If the method is

    followed correctly, the proper flow in each pipe can still be found if small mathematical errors

    are consistently made in the process. As long as the last few iterations are done with attention to

  • 8/13/2019 Water Supply to GRIET

    48/69

    detail, the solution will still be correct. In fact, it is possible to intentionally leave off decimals in

    the early iterations of the method to run the calculations faster.

  • 8/13/2019 Water Supply to GRIET

    49/69

  • 8/13/2019 Water Supply to GRIET

    50/69

  • 8/13/2019 Water Supply to GRIET

    51/69

    Where

    K = L

    470 d4.87

    Computation of K values for pipes of network of fig. 5.2

    Table 1

    Pipe Length in meter Dia in meter K = L / 470 d4.87

    For loop ABCDA

    AB 500 0.30 374.4

    BC 300 0.20 1618

    CD 500 0.20 2696.8

    DA 300 0.20 1618

    For loop DCFED

    DC 500 0.20 2696.8

    CF 300 0.15 6568.4

    FE 500 0.15 10947

    ED 300 0.15 6568.4

    Now both the loops are analysed for Hardy Cross method procedure in table 2

  • 8/13/2019 Water Supply to GRIET

    52/69

    Table2: Table for loop ABCDA

    Pipe assumed Flow K value HL= HL/ Qa= corrected flowafter

    l/s m3/s from tb1 KxQa

    1.85col5/ col3 1

    stcorrection Qa1=

    Col 2+ l (l/s)

    1 2 3 4 5 6 7

    AB 45 .045 374.4 (+)1.21 26.89 47

    BC 23 .023 1618 (+)1.51 65.65 25

    CD (-) 15 (-).015 2696.8 (-)1.14 76.0 (-) 13.0

    DA (-)30 (-).030 1618 (-)2.46 82.0 (-) 28.0

    HL=-.88 250.54

    then l= (-)H

    L (-)0.88 1.899m3/sec

    x.HL 1.85 x 250.54

    Qa

    Or 1=(+)1.90 l/s

    (say) (+)2 l/s

  • 8/13/2019 Water Supply to GRIET

    53/69

    Table for loop DCFED

    1 2 3 4 5 6 7

    DC 15 0.015 2696.8 (+) 1.14 76 10

    CF 23 0.023 6568.4 (+) 6.12 266 18

    FE (-) 8 (-)0.008 10947 (-) 1.45 181.3 (-) 13

    ED (-) 5 (-)0.005 6568.4 (-)0.36 72 (-) 10

    HL=(+)5.45 595.3

    Then the 1stcorrection for loop DCFED

    1= (-)HL (+) 5.45 (-) 4.95 x 10

    -3 m3/sec

    x. HL 1.85 x 595.3

    Qa

    Or 1= (-) 4.95 l/s.

    (say) (-)5 l/s.

  • 8/13/2019 Water Supply to GRIET

    54/69

    Then the corrected discharge after first corrections in various pipes are now given as

    Pipe Corrected discharges after first corrections in l/sec.

    For loop ABCDA

    AB (+) 47

    BC (+) 25

    CD (-) 13

    DA (-) 28

    For loop DCFED

    DC (+) 10

    CF (+) 18

    FE (-) 13

    ED (-) 10

    Discharge in pipe common to both loops i.e. pipe CD

    = assumed discharge + 1+ 1= -15 + 2 (-)5

    = -15 + 2 + 5 = (-) 8 l/sec.

    Since correction of (-) 5 l/s is in pipe DC and hence it will be equal to (+) 5l/s in pipe CDThese discharges are now again used to re-analyse both the loops for the second correction in

    table 3.

  • 8/13/2019 Water Supply to GRIET

    55/69

  • 8/13/2019 Water Supply to GRIET

    56/69

  • 8/13/2019 Water Supply to GRIET

    57/69

  • 8/13/2019 Water Supply to GRIET

    58/69

    Roughness of steel pipe k= 0.1mm

    1stcase. Cast iron pipe

    We should first find the value of friction factor using

    (1/f ) = 2 log10(RO/k) + 1.74 . (1)

    = 2 log10(100/0.3) + 1.74

    = 6.78

    therefore f = (1/6.78)2= 0.02

    local losses are to be neglected. This means head loss due to friction is to be considered. Head

    loss due tot friction is

    4 = (f x L x V

    2

    ) / (d x 2g)

    = (0.02 x 500 x V2) / (0.2 x 2 x 9.81)

    V = 1.25 m/s.

    Discharge Q1= V x area = 1.25 x (/4) x d2

    = 1.25 x 0.78 x 0.22

    = 0.0392 m3/s

    2nd

    case. G.I. pipe

    K = 0.1mm, Ro= 500mm

    Substituting these values in equation (1), we get

    (1/f) = 2 x log10(100/0.1) + 1.74 = 7.74

    f = (1/7.74)2= 0.0166

    head loss due to friction, 4 = (f x L x V2) / (d x 2g)

    = (0.0166 x 500 x V2) / (0.2 x 2 x 9.81)

    V = 1.375 m/s

    Therefore discharge, Q2= V x Area = 1.375 x (/4) x 0.22

  • 8/13/2019 Water Supply to GRIET

    59/69

    = 0.0431 m3/s

    Percentage increase in the discharge = ((Q2 Q1) / Q1) x 100

    = ((0.0431 0.0392) / 0.0392) x 100

    = 9.94 %

    Calculation of head loss

    Diameter of pipe is 200mm

    Assuming water flows with avelocity of 3m\s

    For a length of 5m

    Kinematic viscosity of water as v = 0.01 stoke = 0.01 x 10-4

    m2/s.

    the head lost due to friction is computed as follows:

    Darcy Formula is given by

    hf = (4 x f x L x V2) / (d x 2 x g)

    Where f = coefficient of friction is a function of Reynolds number, R e

    But Reis given by Re = (V x d ) / v.

    = (3.0 x 0.20) / (0.01 x 10-4

    )

    = 6x 105

    Therefore value of f = (0.079 / (Re)1/4

    )

    = (0.079/ (6 x 105)

    1/4)

    = 0.00283

    Therefore head lost hf = (4 x 0.00283 x 5 x 32) / (0.2 x 2 x 9.81)

    = 0.1298 m

  • 8/13/2019 Water Supply to GRIET

    60/69

    5.3 Design of septic tank

    Design of septic tank for 946 users, assuming the rate of water supply as 66 litres/head/day.

    Solution:

    Assuming the detention period as 24 hours and the time of cleaning the sludge as 3 years.

    Space required for settling = (946 x 66) 1000 = 62.4 m3

    Space required for digestion = (946 x 0.0425) = 40.2 m3

    Space required for storage of sludge = (946 x 0.085) = 80.41 m3

    Total space required = (62.4 + 40.2 + 80.41) = 183.01 m3

    Providing depth as 1.2 m,

    Surface area = 25 m2

    Now assuming L: B=1:1

    Then (B x B) = 25 m2

    Or B = 5 m, L =5 m.

    Providing free board as 30 cm

    Then overall depth =1.2 + 0.3 =1.5 m

    Therefore provide the septic tank of size = 5 m x 5 m x 1.5 m.

  • 8/13/2019 Water Supply to GRIET

    61/69

    Fig 5.3.1 Septic tank

  • 8/13/2019 Water Supply to GRIET

    62/69

  • 8/13/2019 Water Supply to GRIET

    63/69

    Fig 5.3.2 pipe line layout

  • 8/13/2019 Water Supply to GRIET

    64/69

  • 8/13/2019 Water Supply to GRIET

    65/69

    CHAPTER 7

    CONCLUSION

    For an effective water supply system,Initially, water demand is calculated based on the purpose of the building and the

    population of the building. Allowances are given as per the given codal provisions.

    For an effective water distribution system,Layout is prepared

    Diameters of pipes are calculated

    Pressures in pipe lines are calculated

    Loss in pressure head is calculated

    Discharge is compared for cast iron pipe and G.I. pipe

    Discharge in pipe network is calculated using hardy cross method

    Also, the discharge can be verified using softwares such as EPANET, LMNO, WESNET For sanitation purpose, Septic tank is designed.

  • 8/13/2019 Water Supply to GRIET

    66/69

    CHAPTER 8

    REFERENCES

    IS 2065-1963 IS 1172-1963 NATIONAL BUILDING CODE (N.B.C.) A TEXTBOOK OF ENVIRONMENTAL ENGINEERING BY G.S.BIRDIE and

    J.S.BIRDIE

    A TEXTBOOK OF FLUID MECHANICS AND HYDRAULIC MACHINERY BYMODI &SETH

    SOFTWARES SUCH AS EPANET LMNO WESNET WIKIPEDIA

  • 8/13/2019 Water Supply to GRIET

    67/69

  • 8/13/2019 Water Supply to GRIET

    68/69

  • 8/13/2019 Water Supply to GRIET

    69/69